Pith Number

pith:F4JUJ5LX

pith:2009:F4JUJ5LX5DMI46GRWACMRTJFGP

not attested not anchored not stored refs pending

The Observed Growth of Massive Galaxy Clusters II: X-ray Scaling Relations

(2) IfA, Adam Mantz (1), Alex Drlica-Wagner (1) ((1) KIPAC, David Rapetti (1), Harald Ebeling (2), Hawaii), Stanford/SLAC, Steven W. Allen (1)

arxiv:0909.3099 v3 · 2009-09-16 · astro-ph.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F4JUJ5LX5DMI46GRWACMRTJFGP}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:11:47.028378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2f1344f577e8d88e78d1b004c8cd2533d2c2b0193aa321d04e79f8c2ce551996

Aliases

arxiv: 0909.3099 · arxiv_version: 0909.3099v3 · doi: 10.48550/arxiv.0909.3099 · pith_short_12: F4JUJ5LX5DMI · pith_short_16: F4JUJ5LX5DMI46GR · pith_short_8: F4JUJ5LX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/F4JUJ5LX5DMI46GRWACMRTJFGP \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2f1344f577e8d88e78d1b004c8cd2533d2c2b0193aa321d04e79f8c2ce551996

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21c33f70a6d048cc6134d28d824b7fe13483b2b77a6938de3976a305645378dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "astro-ph.CO",
    "submitted_at": "2009-09-16T20:03:21Z",
    "title_canon_sha256": "ab291c42e361d13e90c2831ee0c52392711fc61bd5d7233201387ef1900489f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3099",
    "kind": "arxiv",
    "version": 3
  }
}